Question

11 Consider an assembly of N-4 particles in a system which has equally spaced non degenerate energy levels, U-0.e,2e,3e, The total energy of the system is U 6. a) Assuming the particles are distinguishable, how many distributions of the particles over the energy levels are possible? List all of them in a table showing the number [7] of particles, n, in each energy level U b) To which particle statistics does this scenario correspond? c) How many microstates contribute to each distribution? How many microstates are [5] there in total? What is the probability of each distribution? d) If the particles were indistinguishable and had integer spin, which particle statistics [3] would be applicable? How many of the distributions listed in (a) would be possible in that case, and how many microstates would exist (no further calculation needed)? e) If the particles were indistinguishable and had half-integer spin, which particle [3] statistics would be applicable? How many of the distributions listed in (a) would be possible in that case, and how many microstates would exist (no further calcula tion needed)?

Answer 1

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